2004
DOI: 10.1111/j.0824-7935.2004.00239.x
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Soft Constraint Propagation and Solving in Constraint Handling Rules

Abstract: Soft constraints are a generalization of classical constraints, which allow for the description of preferences rather than strict requirements. In soft constraints, constraints and partial assignments are given preference or importance levels, and constraints are combined according to combinators which express the desired optimization criteria. On the other hand, constraint handling rules (CHR) constitute a high-level natural formalism to specify constraint solvers and propagation algorithms. We present a fram… Show more

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Cited by 14 publications
(13 citation statements)
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References 13 publications
(23 reference statements)
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“…Here, we broadly follow the conception of a (soft) constraint as put forward in Bistarelli et al (1997), Bistarelli et al (2004), and Dubois et al (1996), which -as pointed out by Dubois et al -is rooted in early work on constraint satisfaction in computer vision (Waltz, 1975;Rosenfeld et al, 1976). The current formulation provides us with a uniform characterization of hard and soft constraints.…”
Section: Formalizing the Notion Of A Constraintmentioning
confidence: 99%
“…Here, we broadly follow the conception of a (soft) constraint as put forward in Bistarelli et al (1997), Bistarelli et al (2004), and Dubois et al (1996), which -as pointed out by Dubois et al -is rooted in early work on constraint satisfaction in computer vision (Waltz, 1975;Rosenfeld et al, 1976). The current formulation provides us with a uniform characterization of hard and soft constraints.…”
Section: Formalizing the Notion Of A Constraintmentioning
confidence: 99%
“…Unlike hard (required) constraints which must hold in any solution, soft (preferential) constraints must only be satisfied as far as possible. Bistarelli, Frühwirth et al (2004) present a series of constraint solvers for (mostly) extensionally defined finite domain soft constraints, based on the framework of c-semirings. In this framework, soft constraints can be combined and projected onto a subset of their variables, by using the two operators of a c-semiring.…”
Section: Soft Constraints and Schedulingmentioning
confidence: 99%
“…For example, approaches such as in Bistarelli et al (1997Bistarelli et al ( , 2001Bistarelli et al ( , 2004; Bistarelli (2004), or a decision diagram approach (Wilson, 2005). Also, a general method for this kind of problem is based on variable elimination.…”
Section: Computational Techniques For the Distributive Lattice Casementioning
confidence: 99%